Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces

Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces

We exhibit a class of nonlinear operators with the property that their iterates converge to their unique fixed points even when computational errors are present. We also show that most (in the sense of the Baire category) elements in an appropriate complete metric space of operators do, in fact, pos...

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Veröffentlicht in:Journal of applied analysis 2007-06, Vol.13 (1), p.1-11
Hauptverfasser: Butnariu, D., Reich, S., Zaslavski, A. J.
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Sprache:eng
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Complete metric space
generic property
inexact orbit
iteration
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container_title Journal of applied analysis
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creator Butnariu, D.
Reich, S.
Zaslavski, A. J.
description We exhibit a class of nonlinear operators with the property that their iterates converge to their unique fixed points even when computational errors are present. We also show that most (in the sense of the Baire category) elements in an appropriate complete metric space of operators do, in fact, possess this property.
doi_str_mv 10.1515/JAA.2007.1
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ispartof Journal of applied analysis, 2007-06, Vol.13 (1), p.1-11
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1869-6082
language eng
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source Alma/SFX Local Collection
subjects Complete metric space
generic property
inexact orbit
iteration
title Asymptotic Behavior of Inexact Orbits for a Class of Operators in Complete Metric Spaces
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